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We discuss recent algorithmic improvements in simulating finite temperature QCD on a lattice. In particular, the Rational Hybrid Monte Carlo(RHMC) algorithm is employed to generate lattice configurations for 2+1 flavor QCD. Unlike the…

高能物理 - 格点 · 物理学 2008-11-26 M. Cheng , M. A. Clark , C. Jung , R. D. Mawhinney

Quantum Monte Carlo algorithms based on a world-line representation such as the worm algorithm and the directed loop algorithm are among the most powerful numerical techniques for the simulation of non-frustrated spin models and of bosonic…

统计力学 · 物理学 2007-07-28 Lode Pollet , Kris Van Houcke , Stefan M. A. Rombouts

Polynomial approximations to the inverse of the fermion matrix are used to filter the dynamics of the upper energy scales in HMC simulations. The use of a multiple time-scale integration scheme allows the filtered pseudofermions to be…

高能物理 - 格点 · 物理学 2015-05-28 Waseem Kamleh , Mike Peardon

We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in parameter space. The practical computational tool to compute…

最优化与控制 · 数学 2024-05-03 Michael Herty , Christian Ringhofer

Stochastic hydrodynamics provides a dynamical framework for the evolution of fluctuations in heavy-ion collisions, but poses significant challenges in numerical simulations. We present an algorithm for the simulation of non-relativistic…

核理论 · 物理学 2026-02-03 Mattis Harhoff , Sören Schlichting , Lorenz von Smekal

Previous investigations have shown that the canonical approach to simulating QCD at finite density is promising. The algorithm we used in our earlier work employs an exact calculation of the fermionic determinant which limits the size of…

高能物理 - 格点 · 物理学 2008-11-26 Andrei Alexandru , Anyi Li , Keh-Fei Liu

This review gives an overview on the research of algorithms for dynamical fermions used in large scale lattice QCD simulations. First a short overview on the state-of-the-art of ensemble generation at the physical point is given. Followed…

高能物理 - 格点 · 物理学 2024-02-20 Jacob Finkenrath

The lattice regularization of QCD provides us with the most systematic way of computing non-perturbative properties of hadrons directly from the first principles of QCD. The recent rapid development of parallel computers has enabled us to…

高能物理 - 唯象学 · 物理学 2009-10-31 K. Kanaya

We describe a Fourier Accelerated Hybrid Monte Carlo algorithm suitable for dynamical fermion simulations of non-gauge models. We test the algorithm in supersymmetric quantum mechanics viewed as a one-dimensional Euclidean lattice field…

高能物理 - 格点 · 物理学 2011-07-28 S. Catterall , S. Karamov

We provide an extension to lattice systems of the reptation quantum Monte Carlo algorithm, originally devised for continuous Hamiltonians. For systems affected by the sign problem, a method to systematically improve upon the so-called…

其他凝聚态物理 · 物理学 2010-10-26 Giuseppe Carleo , Federico Becca , Saverio Moroni , Stefano Baroni

On the base of a Feynman-Kac--type formula involving Poisson stochastic processes, recently a Monte Carlo algorithm has been introduced, which describes exactly the real- or imaginary-time evolution of many-body lattice quantum systems. We…

其他凝聚态物理 · 物理学 2011-07-19 Massimo Ostilli , Carlo Presilla

Based on the worm algorithm in the path-integral representation, we propose a general quantum Monte Carlo algorithm suitable for parallelizing on a distributed-memory computer by domain decomposition. Of particular importance is its…

统计力学 · 物理学 2014-04-14 Akiko Masaki-Kato , Takafumi Suzuki , Kenji Harada , Synge Todo , Naoki Kawashima

We present a lattice Monte Carlo algorithm based on the one originally proposed by Maggs and Rossetto for simulating electrostatic interactions in inhomogeneous dielectric media. The original algorithm is known to produce attractive…

软凝聚态物质 · 物理学 2017-05-12 Xiaozheng Duan , Issei Nakamura , Zhen-Gang Wang

A previously introduced multi-boson technique for the simulation of QCD with dynamical quarks is described and some results of first test runs on a $6^3\times12$ lattice with Wilson quarks and gauge group SU(2) are reported.

高能物理 - 格点 · 物理学 2009-10-22 B. Bunk , K. Jansen , B. Jegerlehner , M. Lüscher , H. Simma , R. Sommer

We investigate the perturbative and nonperturbative renormalization of composite operators in lattice QCD restricting ourselves to operators that are bilinear in the quark fields (quark-antiquark operators). These include operators which…

We introduce a new algorithm which we call the {Rational Hybrid Monte Carlo} Algorithm (RHMC). This method uses a rational approximation to the fermionic kernel together with a noisy Kennedy-Kuti acceptance step to give an efficient…

高能物理 - 格点 · 物理学 2009-10-31 Ivan Horvath , A. D. Kennedy , Stefan Sint

We propose a quantum Monte Carlo algorithm capable of simulating the Bose-Hubbard model on arbitrary graphs, obviating the need for devising lattice-specific updates for different input graphs. We show that with our method, which is based…

统计力学 · 物理学 2024-04-29 Itay Hen , Emre Akaturk

We demonstrate a new approach to the generation of custom entangled many-body states through reservoir engineering, using the symmetry properties of bosonic lattice systems coupled to a local squeezed reservoir. We outline an algorithm…

量子物理 · 物理学 2020-09-25 Yariv Yanay

The advantages of using Multi-Step corrections for simulations of lattice gauge theories with dynamical fermions will be discussed. This technique is suited for algorithms based on the Multi-Boson representation of the dynamical fermions as…

高能物理 - 格点 · 物理学 2008-11-26 Enno E. Scholz , Istvan Montvay

We describe a quantum algorithm for preparing states that encode solutions of non-homogeneous linear partial differential equations. The algorithm is a continuous-variable version of matrix inversion: it efficiently inverts differential…

量子物理 · 物理学 2019-09-11 Juan Miguel Arrazola , Timjan Kalajdzievski , Christian Weedbrook , Seth Lloyd